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Finding the Fourth Proportional to 14,301.92, 19,733.26 and 8,330

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Solution

The fourth proportional to 14,301.92, 19,733.26 and 8,330 is: 11,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.92 : 19,733.26 = 8,330 : x
  2. Step 2: Convert to fraction form
    14,301.92/19,733.26 = 8,330/x
  3. Step 3: Cross multiply
    14,301.92x = 19,733.26 × 8,330
  4. Step 4: Simplify right side
    14,301.92x = 164,378,055.80
  5. Step 5: Solve for x
    x = 164,378,055.80/14,301.92
  6. Step 6: Final answer
    x = 11,493.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.